Sampling from A Manifold

Persi Diaconis,Susan Holmes,Mehrdad Shahshahani

Institute of Mathematical Statistics collections（2013）

Stanford University

被引用120|浏览31

摘要

We develop algorithms for sampling from a probability distribution on a submanifold embedded in Rn. Applications are given to the evaluation of algorithms in 'Topological Statistics'; to goodness of fit tests in exponential families and to Neyman's smooth test. This article is partially expository, giving an introduction to the tools of geometric measure theory.

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关键词

Statistical Topology,Topological Methods